Pith Number

pith:2UB2LMP7

pith:2011:2UB2LMP7HKWGTPWDLZJKAVGKGO

not attested not anchored not stored refs pending

Towards motivic quantum cohomology of $\bar{M}_{0,S}$

Maxim Smirnov, Yuri I. Manin

arxiv:1107.4915 v2 · 2011-07-25 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UB2LMP7HKWGTPWDLZJKAVGKGO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:38:23.893163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d503a5b1ff3aac69bec35e52a054ca33b4f5e76bc7fe7d4584c59e7449e8d38d

Aliases

arxiv: 1107.4915 · arxiv_version: 1107.4915v2 · doi: 10.48550/arxiv.1107.4915 · pith_short_12: 2UB2LMP7HKWG · pith_short_16: 2UB2LMP7HKWGTPWD · pith_short_8: 2UB2LMP7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2UB2LMP7HKWGTPWDLZJKAVGKGO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d503a5b1ff3aac69bec35e52a054ca33b4f5e76bc7fe7d4584c59e7449e8d38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de943e36c61d5b29b583d121066db5bed616b4c4cbe5dca44517a442c9457fd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-25T12:18:07Z",
    "title_canon_sha256": "00e082e65968645105fd9f953417573517d32f37ebc52aa36e222318f94b2da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4915",
    "kind": "arxiv",
    "version": 2
  }
}